find the length of the unknown side round your answer to the nearest 10th

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Answer:

Step-by-step explanation:

d = 17 cm

r = 17/2 = 8.5 cm

Circumference of circle = πd

                                       = 3.14 * 17

                                       = 53.38 cm

Area of circle = πr²

                       = 3.14 * 8.5 * 8.5

                       = 226.865 cm²

Answer:

(10,11)

(8,7)

(6,3)

(4,-1)

(2,-5)

(0,-9)

(-2,-13)

(-4,-17)

Answer: the image of how its supposed to be graphed is listed down below! hope this helped!

Step-by-step explanation:

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

Answer:

0

Step-by-step explanation:

An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0

Answer:

0

Step-by-step explanation:

Answer:

3 minutes

Step-by-step explanation:

18 divided by 6 = 3 minutes

Hope this helps :)

Answer: Depends on what your talking about so I'll give all 3 definitions.

Step-by-step explanation:

1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.

-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.

2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.

3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.

Answer:

A - school certificates

B - college degrees

So 30 - (10 + 8 + 2) = 10 have no qualification

Answer:

4

Step-by-step explanation: because you up four and move 1 so the answer is 4/1 but is simplified by 4

Answer:

the screen shoy isnt showing up

Step-by-step explanation:

Answer:

R=-3 which is the same thing as 11/2

Step-by-step explanation:

Answer:

r=−3,11/2

Step-by-step explanation:

thats what I got

Answer:

(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(3 + √6) (3 - √6) = 9-3√6+3√6-6 = 9-6 = 3

(pls mark brainliest fam)

Answer:

3

Step-by-step explanation:

use FOIL method. ;)

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

Combine like terms

x+156=180

Subtract 156 to isolate x

x=180-156

x=24

Answer:

9

Step-by-step explanation:

That's the most common number there

Answer:

9

Step-by-step explanation:

The mode of a set of data values is the value that appears most often.

in this set, 9 appears 4 times -> 9 is mode

Answer:

undefined

Step-by-step explanation:

Answer: 2.25 inches

Step-by-step explanation:

27/12= 2.25

Answer: 0.4

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

18x - 5 < 3(6x - 2)       Distribute the 3 to (6x - 2)

18x - 5 < 18x - 6

-18x        -18x               Subtract 18x from both sides

-5 < -6                         There is no solution because -5 is not less than -6.

If this answer is correct, please make me Brainliest!

Answer: 242.7 square inches

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

The first model has a height of 5 inches and a surface area of 80.9 square inches:

The proportion is : height/ surface area= 5 in / 80.9 in2

For a height of 15 inches

15 in/ x in2

So:

5/80.9 = 15/x

x= 15/ (5/80.9 )

x= 242.7 square inches

Feel free to ask for more if needed or if you did not understand something.  

Answer:

8 and 9

Step-by-step explanation:

8 comes after 9 and 8 + 9 = 17

Answer:

150

Step-by-step explanation:

You need to add 60 to the 90 and then check it by doing 60% of 150.

Hope this helps.

Answer: 150 is the answer

Step-by-step explanation:

Answer:

d, c and a

Step-by-step explanation:

O///O

So the right answer is -7.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

2x+3 = x-4

Step-by-step explanation:

X = -7

2 x -7 + 3 = -11

-7 - 4 = -11

Therefore, X is -7 since both sides are equivalent and equal to -11

Answer:

-11/45

Step-by-step explanation:

5/9 + (-4/5)

25/45 + (-36/45)

(Multiplied each side by opposite denom.)

25/45 -36/45

Simplify

25-36=-11

-11/45

Cannot simpfily

Answer:

Step-by-step explanation:

5/9 + (-4/5)

-11/45 or − 0.244444444 and on and on forever

Answer: 154

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the distance that he walks every day (7 miles) by the number of days that he works in a month (22).

Mathematically speaking:

7m x 22d = 154 miles  

Zack walks 154 miles in one month.

Feel free to ask for more if needed or if you did not understand something.

Answer:

They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.

Answer:

The sniper shoot from 870.775 feet vertical distance.

Step-by-step explanation:

Refer the attached figure

Height of victim = AB = 4.5 ft.

Distance between tower and victim BC = 780 feet

The angle of elevation =[tex]\angle DAE = 48^{\circ}[/tex]

Let DE be x

AB = CE = 4.5 feet

BC =AE = 780 feet

Height of tower = DE+CE=x+4.5

In ΔDAE

[tex]\frac{Perpendicular}{Base}=Tan\theta\\\frac{DE}{AE}=Tan 48^{\circ}\\\frac{x}{780}=1.11061\\x=1.11061 \times 780\\x=866.275[/tex]

Height of tower = DE+CE=x+4.5=866.275+4.5=870.775 feet

Hence  the sniper shoot from 870.775 feet vertical distance.

Answer:

(x-4)(x-2)

Step-by-step explanation:

Using The AC Method